Leapfrog Sum Trick Worksheet

Maths tricks trick 25: The leapfrog sum trick · Set 133 · 40 questions

The trick (Seventh times eleven): A leapfrog list: start with two numbers, then each number is the sum of the two before it, up to 10 numbers. Find the 7th number. Multiply it by 11 (the number with a 0 on the end, plus the number): that is the total of all 10.

1. 1.Leapfrog list (each number is the sum of the two before it): 2, 2, 4, 6, 10, 16, 26, 42, 68, 110. What is 11 × the 7th number?
2. 2.A leapfrog list starts 5, 8 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
3. 3.A leapfrog list starts 8, 1 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
4. 4.1 + 2 + 3 + 5 + 8 + 13 + 21 + 34 + 55 + 89 =
5. 5.A leapfrog list starts 1, 1 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
6. 6.A leapfrog list starts 5, 5 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
7. 7.2 + 5 + 7 + 12 + 19 + 31 + 50 + 81 + 131 + 212 =
8. 8.Leapfrog list (each number is the sum of the two before it): 8, 2, 10, 12, 22, 34, 56, 90, 146, 236. What is 11 × the 7th number?
9. 9.Leapfrog list (each number is the sum of the two before it): 9, 2, 11, 13, 24, 37, 61, 98, 159, 257. What is 11 × the 7th number?
10. 10.Leapfrog list (each number is the sum of the two before it): 6, 9, 15, 24, 39, 63, 102, 165, 267, 432. What is 11 × the 7th number?
11. 11.Leapfrog list (each number is the sum of the two before it): 2, 9, 11, 20, 31, 51, 82, 133, 215, 348. What is 11 × the 7th number?
12. 12.5 + 8 + 13 + 21 + 34 + 55 + 89 + 144 + 233 + 377 =
13. 13.9 + 9 + 18 + 27 + 45 + 72 + 117 + 189 + 306 + 495 =
14. 14.9 + 4 + 13 + 17 + 30 + 47 + 77 + 124 + 201 + 325 =
15. 15.5 + 9 + 14 + 23 + 37 + 60 + 97 + 157 + 254 + 411 =
16. 16.8 + 1 + 9 + 10 + 19 + 29 + 48 + 77 + 125 + 202 =
17. 17.A leapfrog list starts 3, 9 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
18. 18.9 + 1 + 10 + 11 + 21 + 32 + 53 + 85 + 138 + 223 =
19. 19.Leapfrog list (each number is the sum of the two before it): 4, 6, 10, 16, 26, 42, 68, 110, 178, 288. What is 11 × the 7th number?
20. 20.A leapfrog list starts 3, 5 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
21. 21.1 + 8 + 9 + 17 + 26 + 43 + 69 + 112 + 181 + 293 =
22. 22.A leapfrog list starts 2, 9 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
23. 23.A leapfrog list starts 2, 4 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
24. 24.4 + 4 + 8 + 12 + 20 + 32 + 52 + 84 + 136 + 220 =
25. 25.8 + 2 + 10 + 12 + 22 + 34 + 56 + 90 + 146 + 236 =
26. 26.Leapfrog list (each number is the sum of the two before it): 9, 4, 13, 17, 30, 47, 77, 124, 201, 325. What is 11 × the 7th number?
27. 27.3 + 9 + 12 + 21 + 33 + 54 + 87 + 141 + 228 + 369 =
28. 28.A leapfrog list starts 9, 4 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
29. 29.A leapfrog list starts 1, 2 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
30. 30.A leapfrog list starts 7, 8 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
31. 31.5 + 4 + 9 + 13 + 22 + 35 + 57 + 92 + 149 + 241 =
32. 32.A leapfrog list starts 7, 4 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
33. 33.A leapfrog list starts 1, 8 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
34. 34.4 + 9 + 13 + 22 + 35 + 57 + 92 + 149 + 241 + 390 =
35. 35.A leapfrog list starts 7, 1 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
36. 36.6 + 1 + 7 + 8 + 15 + 23 + 38 + 61 + 99 + 160 =
37. 37.A leapfrog list starts 8, 3 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
38. 38.A leapfrog list starts 6, 2 and each next number is the sum of the two before it. What do the first 10 numbers add up to?
39. 39.2 + 8 + 10 + 18 + 28 + 46 + 74 + 120 + 194 + 314 =
40. 40.A leapfrog list starts 2, 7 and each next number is the sum of the two before it. What do the first 10 numbers add up to?

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